LCM of 605, 754, 460, 115, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 754, 460, 115, 990 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 605, 754, 460, 115, 990. So, keep reading to learn more.
Given numbers are 605,754,460,115,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,754,460,115,990 is 188854380.
Find LCM of 605,754,460,115,990 with Prime Factorization
| 2 | 605, 754, 460, 115, 990 |
| 5 | 605, 377, 230, 115, 495 |
| 11 | 121, 377, 46, 23, 99 |
| 23 | 11, 377, 46, 23, 9 |
| 11, 377, 2, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 23 x 11 x 377 x 2 x 1 x 9 = 188854380
Therefore, the lowest common multiple of 605,754,460,115,990 is 188854380.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
605 x 754 x 460 x 115 x 990 = 23890079070000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
605 : 1, 5, 11, 55, 121, 605
754 : 1, 2, 13, 26, 29, 58, 377, 754
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
115 : 1, 5, 23, 115
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,754,460,115,990, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
754:2x 13x 29
460:2x 2x 5x 23
115:5x 23
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5x 5x 11x 23 = 126500
Therefore, the value for common factors is 126500.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 23890079070000/(1x126500)
LCM = 23890079070000/126500
LCM = 188854380
Thus, we can understand that the LCM of 605,754,460,115,990 is 188854380.
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FAQs on LCM of 605, 754, 460, 115, 990
1. What is the LCM of 605, 754, 460, 115, 990?
Answer: LCM of 605, 754, 460, 115, 990 is 188854380.
2. How to calculate the LCM of 605, 754, 460, 115, 990?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 605, 754, 460, 115, 990.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.